Central extensions of sphere groups

DOI10.1063/1.529500zbMath0749.22008OpenAlexW2018911602MaRDI QIDQ3980873

J. Stuart Dowker

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529500

zbMATH Keywords

Lie groupcentral extensionsloop groupcompact manifoldinfinite dimensional Lie algebraclosed forms

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (3)

Area-preserving diffeomorphisms of Riemann surfaces ⋮ Matrix quantization of gravitational edge modes ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics

Cites Work

• Area-preserving diffeomorphisms and supermembrane Lorentz invariance
• Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
• Volume-preserving diffeomorphisms on the 3-sphere
• Some examples of the algebra of flows
• Algebras for the two-sphere and the three-sphere groups of compact simple Lie groups

This page was built for publication: Central extensions of sphere groups